1
GATE ECE 2014 Set 3
Numerical
+2
-0
In the circuit shown in the figure, the angular frequency $$\omega$$ (in rad/s), at which the Norton equivalent impedance as seen from terminals b-b' is purely resistive, is _______.
2
GATE ECE 2014 Set 3
+1
-0.3
A series RC circuit is connected to a DC voltage source at time t = 0. The relation between the source voltage VS, the resistance R, the capacitance C, and the current i(t) is given below: $$V_{s\;}=\;Ri(t)+\frac1c\int_0^ti(u)du$$\$ Which one of the following represents the current f(t)?
A
B
C
D
3
GATE ECE 2014 Set 3
+2
-0.6
Consider the building block called 'Network N' shown in the figure.
Let $$C = 100\,\mu F\,\,$$ and $$R = 10\,k\Omega$$.

Two such blocks are connected in cascade, as shown in the figure.

The transfer function $${{{V_3}\left( s \right)} \over {{V_1}\left( s \right)}}$$ of the cascaded network is

A
$${s \over {1 + s}}$$
B
$${{{s^2}} \over {1 + 3s + {s^2}}}$$
C
$${\left( {{s \over {1 + s}}} \right)^2}$$
D
$${{s \over {2 + s}}}$$
4
GATE ECE 2014 Set 3
Numerical
+1
-0
The input $$- 3{e^{2t}}\,\,u\left( t \right)$$, where u(t) is the unit step function$$\, {{s - 2} \over {s + 3}}$$. If the initial value of the output is -2, then the value of the output at steady state is _____.
GATE ECE Papers
2023
2022
2021
2019
2018
2013
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
1997
1996
1995
1994
1993
1992
1991
1990
1989
1988
1987
EXAM MAP
Medical
NEET